102616029 has 12 divisors (see below), whose sum is σ = 156942396. Its totient is φ = 64386432.

The previous prime is 102616013. The next prime is 102616039. The reversal of 102616029 is 920616201.

It can be written as a sum of positive squares in 2 ways, for example, as 65124900 + 37491129 = 8070^2 + 6123^2 .

It is not a de Polignac number, because 102616029 - 2⁴ = 102616013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102615993 and 102616011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102616039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335194 + ... + 335499.

It is an arithmetic number, because the mean of its divisors is an integer number (13078533).

Almost surely, 2^102616029 is an apocalyptic number.

It is an amenable number.

102616029 is a deficient number, since it is larger than the sum of its proper divisors (54326367).

102616029 is a wasteful number, since it uses less digits than its factorization.

102616029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670716 (or 670713 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102616029 is about 10129.9570087933. The cubic root of 102616029 is about 468.1716031888.

It can be divided in two parts, 10261 and 6029, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 102616029 in words is "one hundred two million, six hundred sixteen thousand, twenty-nine".